On rime Ansatz

Details On rime Ansatz On rime Ansatz

2007-12-23

arxiv.org/abs/0712.3953v1

Mathematics

Quantum Algebra

4 pages, talk given at the VII International Workshop "Supersymmetries and Quantum Symmetries", Dubna 2007

Scientific paper

The ice Ansatz on matrix solutions of the Yang-Baxter equation is weakened to a condition which we call rime. Generic rime solutions of the Yang-Baxter equation are described. We prove that the rime non-unitary (respectively, unitary) R-matrix is equivalent to the Cremmer-Gervais (respectively, boundary Cremmer-Gervais) solution. Generic rime classical r-matices satisfy the (non-)homogeneous associative classical Yang-Baxter equation.

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